Search a number
-
+
104704 = 28409
BaseRepresentation
bin11001100100000000
312022121221
4121210000
511322304
62124424
7614155
oct314400
9168557
10104704
1171736
1250714
1338872
142a22c
1521054
hex19900

104704 has 18 divisors (see below), whose sum is σ = 209510. Its totient is φ = 52224.

The previous prime is 104701. The next prime is 104707. The reversal of 104704 is 407401.

It can be divided in two parts, 104 and 704, that added together give a palindrome (808).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104701) and next prime (104707).

It can be written as a sum of positive squares in only one way, i.e., 102400 + 2304 = 320^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (104701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52 + ... + 460.

2104704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755).

104704 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104704 is an frugal number, since it uses more digits than its factorization.

104704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 104704 is about 323.5799746585. The cubic root of 104704 is about 47.1325667338.

The spelling of 104704 in words is "one hundred four thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 128 256 409 818 1636 3272 6544 13088 26176 52352 104704